SOLUTION: How can you create a graph of y=2x-6

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Question 988971: How can you create a graph of y=2x-6
Answer by EdenWolf(517) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations
In order to graph y=2%2Ax-6 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-1

y=2%2A%28-1%29-6

y=-2-6 Multiply

y=-8 Add

So here's one point (-1,-8)




Now lets find another point

Plug in x=0

y=2%2A%280%29-6

y=0-6 Multiply

y=-6 Add

So here's another point (0,-6). Add this to our graph





Now draw a line through these points

So this is the graph of y=2%2Ax-6 through the points (-1,-8) and (0,-6)


So from the graph we can see that the slope is 2%2F1 (which tells us that in order to go from point to point we have to start at one point and go up 2 units and to the right 1 units to get to the next point) the y-intercept is (0,-6)and the x-intercept is (3,0)


We could graph this equation another way. Since b=-6 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-6).


So we have one point (0,-6)





Now since the slope is 2%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,-6), we can go up 2 units



and to the right 1 units to get to our next point


Now draw a line through those points to graph y=2%2Ax-6


So this is the graph of y=2%2Ax-6 through the points (0,-6) and (1,-4)